Supramolecular Polymers, Second Edition 2005
DOI: 10.1201/9781420027921.ch3
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Theory of Supramolecular Polymerization

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Cited by 40 publications
(82 citation statements)
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“…Furthermore, when the heating and cooling curves were compared for these two solvents, almost overlapping data were obtained in MCH, but in decane a weak hysteresis was observed (Figure S2 in the Supporting Information), which is well known for cooperative supramolecular polymerization processes that occur by homogeneous nucleation. To gain more insight into this intriguing observation, the non‐sigmoidal cooling curve in decane was analyzed by using the variable size nucleation–elongation model where nucleation and elongation regimes are separated by the elongation temperature ( T e ). This model assumes the onset of supramolecular polymerization (at T > T e ) by a thermally activated unfavorable nucleation step (expressed with the dimensionless equilibrium constant K a , Equation ) followed by highly favorable elongation of the activated oligomers (at T < T e ; expressed with dimensionless equilibrium constant K a , Equation ). trueαagg=αconst[]1-exp-heRTe2()T-Tnormale trueαagg=αconst[]Ka3exp()23Ka3-1-heRTnormale2()T-Tnormale trueNnormaln=1Ka()1-exp-heRTnormale2()T-Tnormaleexp-hRTnormale2()T-Tnormale …”
Section: Resultsmentioning
confidence: 99%
“…Furthermore, when the heating and cooling curves were compared for these two solvents, almost overlapping data were obtained in MCH, but in decane a weak hysteresis was observed (Figure S2 in the Supporting Information), which is well known for cooperative supramolecular polymerization processes that occur by homogeneous nucleation. To gain more insight into this intriguing observation, the non‐sigmoidal cooling curve in decane was analyzed by using the variable size nucleation–elongation model where nucleation and elongation regimes are separated by the elongation temperature ( T e ). This model assumes the onset of supramolecular polymerization (at T > T e ) by a thermally activated unfavorable nucleation step (expressed with the dimensionless equilibrium constant K a , Equation ) followed by highly favorable elongation of the activated oligomers (at T < T e ; expressed with dimensionless equilibrium constant K a , Equation ). trueαagg=αconst[]1-exp-heRTe2()T-Tnormale trueαagg=αconst[]Ka3exp()23Ka3-1-heRTnormale2()T-Tnormale trueNnormaln=1Ka()1-exp-heRTnormale2()T-Tnormaleexp-hRTnormale2()T-Tnormale …”
Section: Resultsmentioning
confidence: 99%
“…Assuming an isodesmic mechanism (37,54) in the self-assembly of compound 3a, the apparent association constant at 298 K is on the order of 5 · 10 5 M −1 in a concentration regime of 8 μM to 20 μM. Only a slight decrease to 3 · 10 5 M −1 is observed when switching to a 10-mM PBS buffer at pH 7.4 or a 50-mM succinate buffer at pH 6 (SI Appendix).…”
Section: Resultsmentioning
confidence: 99%
“…Various research groups, including ours, have reviewed models that allow the distinction between fundamentally different selfassembly mechanisms (36,52,(54)(55)(56). Based on the van der Schoot model (54), reliable fitting procedures (37) can provide us with the thermodynamic parameters describing the processes involved.…”
Section: Resultsmentioning
confidence: 99%
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“…The temperature dependence of χ pol is markedly different from the sigmoidal shape characteristic of isodesmic equilibria of classical equilibrium polymers. Instead, χ pol asymmetrically drops upon increasing the temperature and suddenly vanishes for values above a characteristic temperature (the polymerisation temperature T pol ), as expected in the case of nucleation–elongation polymerisation (sometimes called thermally activated equilibrium polymerisation), in which the polymer building blocks are mainly inactive, but subject to a thermal equilibrium with a highly active form that triggers polymerisation into (active) polymers …”
Section: Resultsmentioning
confidence: 66%